# A children's park is 350m long and 200m wide. it is surrounded by a pathway of uniform width. suppose the total area of the park and the pathway is 74,464m(squared). how wide is the pathway?

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Since we have a uniform width (let the width be w) for the pathway,

74,464 = (350+w)(200+w)

74,464 = 70,000 + 550w + w²

0 = w² + 550w - 4,464

0 = (w-8)(w+558)

Therefore the width would be 8 or -558, but we cannot have a negative value so the uniform width is 8.

74,464 = (350+w)(200+w)

74,464 = 70,000 + 550w + w²

0 = w² + 550w - 4,464

0 = (w-8)(w+558)

Therefore the width would be 8 or -558, but we cannot have a negative value so the uniform width is 8.